Volume of Core Calculator

✖Buoyant Force is the upward force exerted by any fluid upon a body placed in it.ⓘ Buoyant Force [F_b]			+10% -10%
✖Density of Core Metal is the mass per unit volume of the given core metal in casting processes.ⓘ Density of Core Metal [ρ_cm]			+10% -10%
✖Density of Core is the mass per unit volume of the core material used in casting processes.ⓘ Density of Core [ρ_c]			+10% -10%

✖Volume of The Core is the total space occupied by the core material within the casting mold.ⓘ Volume of Core [V_c]

⎘ Copy

👎

Formula

✖

Volume of Core

Formula

`"V"_{"c"} = "F"_{"b "}/(9.81*("ρ"_{"cm"}-"ρ"_{"c"}))`

Example

`"2.998729cm³"="1500.0N"/(9.81*("80kg/cm³"-"29.01kg/cm³"))`

Calculator

LaTeX

Reset

👍

Download Casting (Foundry) Formula PDF PDF Image

Volume of Core Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of The Core = Buoyant Force/(9.81*(Density of Core Metal-Density of Core))
V_c = F_b/(9.81*(ρ_cm-ρ_c))
This formula uses 4 Variables

Variables Used

Volume of The Core - (Measured in Cubic Meter) - Volume of The Core is the total space occupied by the core material within the casting mold.
Buoyant Force - (Measured in Newton) - Buoyant Force is the upward force exerted by any fluid upon a body placed in it.
Density of Core Metal - (Measured in Kilogram per Cubic Meter) - Density of Core Metal is the mass per unit volume of the given core metal in casting processes.
Density of Core - (Measured in Kilogram per Cubic Meter) - Density of Core is the mass per unit volume of the core material used in casting processes.

STEP 1: Convert Input(s) to Base Unit

Buoyant Force: 1500 Newton --> 1500 Newton No Conversion Required
Density of Core Metal: 80 Kilogram per Cubic Centimeter --> 80000000 Kilogram per Cubic Meter (Check conversion here)
Density of Core: 29.01 Kilogram per Cubic Centimeter --> 29010000 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = F_b/(9.81*(ρ_cm-ρ_c)) --> 1500/(9.81*(80000000-29010000))

Evaluating ... ...

V_c = 2.99872913859107E-06

STEP 3: Convert Result to Output's Unit

2.99872913859107E-06 Cubic Meter -->2.99872913859107 Cubic Centimeter (Check conversion here)

FINAL ANSWER

2.99872913859107 ≈ 2.998729 Cubic Centimeter <-- Volume of The Core

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Casting (Foundry) » Cores - Core Prints and Chaplets » Volume of Core

Credits

Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has created this Calculator and 400+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 13 Cores - Core Prints and Chaplets Calculators

Buoyant Force on Vertical Cores

Go Buoyant Force = (pi/4*(Diameter of Core Print^2-Diameter of Cylinder^2)*Height of Core Print*Density of Core Metal-Volume of The Core*Density of Core)*[g]

Buoyant Force on Cylindrical Cores Placed Horizontally

Go Buoyant Force = pi/4*Diameter of Cylinder^2*[g]*Cylinder Height*(Density of Core Metal-Density of Core)

Metallostatic Forces Acting on Moulding Flasks

Go Metallostatic Force = [g]*Density of Core Metal*Projected Area in Parting Plane*Head of Molten Metal

Density of Core Material

Go Density of Core = Density of Core Metal-Buoyant Force/(Volume of The Core*[g])

Volume of Core

Go Volume of The Core = Buoyant Force/(9.81*(Density of Core Metal-Density of Core))

Density of Molten Metal

Go Density of Core Metal = Buoyant Force/(Volume of The Core*9.81)+Density of Core

Buoyant Force on Cores

Go Buoyant Force = 9.81*Volume of The Core*(Density of Core Metal-Density of Core)

Chaplet Area

Go Chaplet Area = 29*(Buoyant Force-Empirical Constant*Core Print Area)

Unsupported Load for Cores

Go Unsupported Load = Buoyant Force-Empirical Constant*Core Print Area

Buoyant Force on Cores from Chaplet Area

Go Buoyant Force = Chaplet Area/29+Empirical Constant*Core Print Area

Empirical Relation for Max. Permissible Buoyancy Force on given Core Print Area

Go Buoyant Force = Empirical Constant*Core Print Area

Empirical Relation for Minimum Core Print Area

Go Core Print Area = Buoyant Force/Empirical Constant

Chaplet Area from Unsupported Load

Go Chaplet Area = 29*Unsupported Load

Volume of Core Formula

Volume of The Core = Buoyant Force/(9.81*(Density of Core Metal-Density of Core))
V_c = F_b/(9.81*(ρ_cm-ρ_c))

What to consider while designing cores for molding?

The design of core prints is such as to take care of the weight of the core before pouring and the upward metallostatic pressure of the molten metal after pouring. The core prints should also ensure that the core is not shifted during the entry of the metal into the mould cavity.

How to Calculate Volume of Core?

Volume of Core calculator uses Volume of The Core = Buoyant Force/(9.81*(Density of Core Metal-Density of Core)) to calculate the Volume of The Core, The volume of core defined as the amount of space occupied by the core within the mold during the casting process. it directly affects factors such as the buoyancy force exerted on the core and the amount of metal required for the casting. Volume of The Core is denoted by V_c symbol.

How to calculate Volume of Core using this online calculator? To use this online calculator for Volume of Core, enter Buoyant Force (F_b), Density of Core Metal (ρ_cm) & Density of Core (ρ_c) and hit the calculate button. Here is how the Volume of Core calculation can be explained with given input values -> 3E+6 = 1500/(9.81*(80000000-29010000)).

FAQ

What is Volume of Core?

The volume of core defined as the amount of space occupied by the core within the mold during the casting process. it directly affects factors such as the buoyancy force exerted on the core and the amount of metal required for the casting and is represented as V_c = F_b/(9.81*(ρ_cm-ρ_c)) or Volume of The Core = Buoyant Force/(9.81*(Density of Core Metal-Density of Core)). Buoyant Force is the upward force exerted by any fluid upon a body placed in it, Density of Core Metal is the mass per unit volume of the given core metal in casting processes & Density of Core is the mass per unit volume of the core material used in casting processes.

How to calculate Volume of Core?

The volume of core defined as the amount of space occupied by the core within the mold during the casting process. it directly affects factors such as the buoyancy force exerted on the core and the amount of metal required for the casting is calculated using Volume of The Core = Buoyant Force/(9.81*(Density of Core Metal-Density of Core)). To calculate Volume of Core, you need Buoyant Force (F_b), Density of Core Metal (ρ_cm) & Density of Core (ρ_c). With our tool, you need to enter the respective value for Buoyant Force, Density of Core Metal & Density of Core and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search